Dr. Caron’s main research focus is on the representation of feasibility regions for mathematical programs. Specifically, he is concerned with the characterization of minimal representations and with the development of algorithms, particularly probabilistic algorithms, to determine such a minimal representation. This area of research includes the development of probabilistic algorithms to find feasibility and for related problems in computational geometry, such as algorithms for extreme point identification. Dr. Caron is also working with colleagues in Industrial Engineering on the application of operational research techniques for hospital administration. Dr. Caron has successfully supervised 18 master’s students and 3 doctoral students; and is currently supervising a master’s student in mathematics, a master’s student in industrial engineering, and a doctoral student in computer science